Equilateral triangles are drawn on the hypotenuse and one of the perpendicular sides of right-angled isosceles triangles. Their areas are H and A respectively. A/H is equal to:
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 1/2
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Concept |
Understanding |
Application |
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Area of equilateral triangle = √3/4(Side)2 |
Since the triangle is Right angle isosceles triangle: Base = Perpendicular = x Hypotenuse AC = h
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Hence, Hypotenuse h2 = (x2 + x2) = 2x2 Now, A/H = [√3/4(AB)2]/[√3/4(AC)2] A/H = x2/h2 A/H = x2/2x2 = 1/2 |